English

The Newton Procedure for several variables

Commutative Algebra 2007-05-23 v1

Abstract

We show that the roots of a Weierstrass polynomial on several variables are power series with rational exponents of bounded denominators, whose Newton diagrams are contained in an S-cone. As an application, in Section 4 we deal with some topics of integral dependence of Puiseux power series.

Keywords

Cite

@article{arxiv.math/0612656,
  title  = {The Newton Procedure for several variables},
  author = {M. J. Soto and J. L. Vicente},
  journal= {arXiv preprint arXiv:math/0612656},
  year   = {2007}
}